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Finding the Third Proportional to 211,295.25 and 458,417.81

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Solution

The third proportional to 211,295.25 and 458,417.81 is: 994,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,295.25 : 458,417.81 = 458,417.81 : x
  2. Step 2: Convert to fraction form
    211,295.25/458,417.81 = 458,417.81/x
  3. Step 3: Cross multiply
    211,295.25x = 458,417.81 × 458,417.81
  4. Step 4: Simplify right side
    211,295.25x = 210,146,890,817.29
  5. Step 5: Solve for x
    x = 210,146,890,817.29/211,295.25
  6. Step 6: Final answer
    x = 994,565.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.